Dice notation
6d152
- 6d152
- 6 to 912
- mean 459
- mode 459
Rolling 6d152 gives a total between 6 and 912, with a mean of 459 and a standard deviation of 107.4779. There are 12,332,795,428,864 equally likely ordered outcomes, and the most likely total is 459 at 0.362%.
The roll
Notation6d152
Dice6
Faces per die152
Minimum total6all 6 dice showing 1
Maximum total912all 6 dice showing 152
Distinct totals907
Mean459n(f + 1)/2 + modifier, exact
Variance11,551.5n(f² − 1)/12, exact
Standard deviation107.47790471≈
Counting the outcomes
Ordered outcomes12,332,795,428,864152^6, every die distinguishable
Most likely total459
Chance of that total0.361849%≈
Ways to roll it44,626,124,600exact count
Chance of the minimum8.10846175 × 10^-12%≈1 in 12,332,795,428,864
Chance of the maximum8.10846175 × 10^-12%≈1 in 12,332,795,428,864
Shape of the distribution
907 distinct totals, too many to list individually.
1st percentile214≈1.005% of rolls are this or lower
5th percentile282≈5.078% of rolls are this or lower
25th percentile385≈25.174% of rolls are this or lower
50th percentile459≈50.181% of rolls are this or lower
75th percentile533≈75.118% of rolls are this or lower
95th percentile636≈95.023% of rolls are this or lower
99th percentile704≈99.023% of rolls are this or lower
Chance of rolling at least
9799.9925%≈
23398.3694%≈
45950.1809%≈
6861.6306%≈
8210.008%≈
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page